Greatest Common Factor of 5395/49, 9741/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5395/49, 9741/985

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5395/49,9741/985

Given fractions are 5395/49,9741/985

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5395,9741

Greatest Common Factor of Numerators i.e. GCF of 5395,9741 is 1 .

LCM of Denominators means LCM of 49,985 as per the given fractions.

LCM of 49,985 is 48265 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5395,9741

GCF of Fractions 5395/49,9741/985 is 1/48265

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5395,9741 By Matching Biggest Common Factor Method

Greatest Common Factor of 5395,9741 By Matching Biggest Common Factor Method

Factors of 5395

List of positive integer factors of 5395 that divides 5395 without a remainder.

1,5,13,65,83,415,1079,5395

Factors of 9741

List of positive integer factors of 9741 that divides 9741 without a remainder.

1,3,17,51,191,573,3247,9741

Greatest Common Factor

We found the factors 5395,9741 . The biggest common factor number is the GCF number.
So the greatest common factor 5395,9741 is 1.

Lets's calculate LCM of 49,985

Given numbers has no common factors except 1. So, there LCM is their product i.e 48265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48265

Therefore, the GCF of Fractions 5395/49,9741/985 is 1/48265

Least Common Multiple of 49,985 with GCF Formula

Least Common Multiple of 49,985 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 49,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,985) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(49,985) x common factors =1 x 1 = 1

LCM(49,985) = ( 49 × 985 ) / 1

LCM(49,985) = 48265 / 1

LCM(49,985) = 48265


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5395/49, 9741/985

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5395/49, 9741/985?

Answer: GCF of Numerators as per given numbers 5395/49, 9741/985 is

GCF of Numerators i.e. for 5395,9741 is 1

LCM of denominators i.e. for 49,985 is 48265.

Thus, GCF of Fractions is 1/48265.Finally, GCF of Fractions for 5395/49, 9741/985 is 1/48265.